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aalyn [17]
3 years ago
12

Victoria has a bag with orange, yellow, and blue chips in it. Without looking, Victoria reaches into the bag and removes a chip.

She records the color and returns the chip to the bag. Victoria performs this experiment 20 times. The table shows the data she collects.
Based on the information in the table, how many orange chips should Victoria expect to select out of the bag after repeating this experiment 80 times?

A
36
B
44
C
65
D
720

Mathematics
1 answer:
mrs_skeptik [129]3 years ago
3 0
Let's start by putting the information on the table into fraction form.

So:

O: 9/20
Y: 5/20
B: 6/20

We now know the probability of picking the different colour chips when the experiment is repeated 20 times but we want to know the probability if the experiment was repeated 80 times. So, we have to find out what number to multiply the probabilities by to get the answer over 80. So:

80/20 = 4
4x9 = 36

Thus the probability of picking an orange chip should be 36/80 and so she should expect to pick up 36  orange chips !
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Mr. Itol's assistant takes twice as long to complete a computer task as Mr. Itol. If it takes both experts 6 hours to complete t
Lesechka [4]
So, in order to solve this problem, I will set up an equation. First, let's make x= the # of hours it takes Mr. Itol to complete a computer task, and since his assistant takes twice as long, lets make 2x=the # of hours it takes the assistant to complete the task. We also know that it takes the two of them 6 hours to complete the task together. We can now set up the following equation: 

\frac{1}{2x} +  \frac{1}{x} =  \frac{1}{6}

Now, in order to be able to solve this, we have to find the least common denominator, and then we can cancel out the denominators to solve for the top part. The LCD=6x and the new equation becomes: 

\frac{3}{6x} +  \frac{6}{6x} =  \frac{x}{6x}

Now, we can get rid of the denominators, and we get:

3+6=x

So, x= 9

Now we know that Mr. Itol would take 9 hours to complete the task if he were to do it himself. To find how long it would take his assistant to complete the same task by himself, we just need to plug in the x-value into 2x:

2(9)=18

Therefore, your answer is that Mr. Itol would take 9 hours to do the job alone, while his assistant will take 18 hours (double the time) to do the job alone.

Hope this helps :) 










4 0
3 years ago
This is a really hard question
Anastasy [175]

Answer:

  • D. 4x - 6

Step-by-step explanation:

  • f(x) = 4x - 2
  • f(x - 1) = 4(x - 1) - 2 = 4x - 4 - 2 = 4x - 6

Correct option is D

5 0
3 years ago
Read 2 more answers
Here are two rectangles.
Drupady [299]
The two rectangles are similar and the scale factor is 3:4
3 0
3 years ago
How many solutions does the following equation have? 4(y-30)=4y+124(y−30)=4y+12
dedylja [7]

Answer:

A. No solution

Step-by-step explanation:

Choose 1 answer:

A. No solutions

B. Exactly one solution

C. Infinitely many solutions

Solution

Given:

4(y-30)=4y+12

Open parenthesis

4y-120=4y+12

Collect like terms

4y-4y=12+120

0=142

There is no solution to the equation, therefore, the answer is A

4 0
3 years ago
Add the following values.<br> (2.1 × 1016) + (3.2 × 1015)
qwelly [4]

Answer:

5381.6

Step-by-step explanation:

(2.1 × 1016) + (3.2 × 1015)

= 5381.6

8 0
2 years ago
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